We study the numerical approximation of fractional powers of accretive operators in this
article. Namely, if is the accretive operator associated with a regular sesquilinear form …

We present an efficient numerical method to approximate the flux variable for the Darcy flow
model. An important feature of our new method is that the approximate solution for the flux …

In this paper we study a class of elliptic boundary hemivariational inequalities which
originates in the steady-state heat conduction problem with nonmonotone multivalued …

In this paper, we study optimal control problems on the internal energy for a system
governed by a class of elliptic boundary hemivariational inequalities with a parameter. The …

We consider the biharmonic Dirichlet problem on a polygonal domain. Regularity estimates
in terms of Sobolev norms of fractional order are proved. The analysis is based on new …

We consider standard finite volume piecewise linear approximations for second order elliptic
boundary value problems on a nonconvex polygonal domain. Based on sharp shift …

The work is concerned with two problems:(a) analysis of a discontinuous Petrov–Galerkin
(DPG) method set up in fractional energy spaces,(b) use of the results to investigate a non …

We prove the existence and uniqueness of strong solutions to the equation $ u u_x-u_ {yy}=
f $ in the vicinity of the linear shear flow, subject to perturbations of the source term and …

We present a simple way to discretize and precondition mixed variational formulations. Our
theory connects with, and takes advantage of, the classical theory of symmetric saddle point …

We provide an error analysis of finite element methods for solving time-dependent Maxwell
problem using Nedelec and Thomas-Raviart elements. We study the regularity of the …